A posteriori error estimation
for FEM discretization of Maxwell’s equations

We study residual-based a posteriori error estimators for Galerkin-type discretizations of time-harmonic Maxwell’s equations. We focus on configurations where the frequency is high, or close to a resonance frequency, and derive reliability and efficiency estimates. We seek to derive frequency-explicit reliability and efficiency estimates.

Initial mesh (left) and adapted mesh (right).

FEM numerical solutions on adapted meshes for incident wave with different frequencies.